光学学报, 2018, 38 (4): 0412005, 网络出版: 2018-07-10
提高多频条纹投影相位提取精度的反向误差补偿法 
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Inverse Error Compensation Method for Improvement of Phase Recovery Accuracy of Multi-Frequency Fringe Projection
图 & 表
图 1. 相位误差补偿结果图。(a)反向误差补偿方法;(b)不同误差补偿方法的比较
Fig. 1. Compensation result diagram of phase error. (a) Inverse error compensation method; (b) comparison of different error compensation methods
图 2. 相移前后相位误差分布。(a)三步相移法;(b)四步相移法
Fig. 2. Phase error distribution before and after phase shifting. (a) 3-step phase shifting; (b) 4-step phase shifting
图 3. 标准平面绝对相位恢复图。 (a)补偿前;(b)补偿后
Fig. 3. Absolute phase recovery of the standard plane. (a) Before compensation; (b) after compensation
图 4. 石膏像的绝对相位恢复。 (a)原始石膏图像; (b)主值相位图;(c)未进行相位补偿;(d)主动相位误差补偿法Vgamma=1.712时绝对相位恢复;(e)所提方法进行相位补偿后
Fig. 4. Absolute phase recovery of plaster statue. (a) Original plaster image; (b) principal phase map; (c) without phase compensation; (d) absolute phase recovery with active phase error compensation method at Vgamma=1.712; (e) phase compensation with proposed method
图 5. 提出的方法对茶杯表面的相位恢复。 (a)~(d)初相位为0,条纹频率分别为1,4,16,64的三步相移法条纹投影图;(e)初相位为π/3,条纹频率为64的条纹投影图;(f)~(j)分别为(a)~(e)的相位主值图;(k)~(l)频率为4和16的解包裹绝对相位图;(m)频率为64,非线性误差补偿后的主值相位图;(n)频率为64的高精度解包裹绝对相位图;(o)误差修正后的解包裹绝对相位图三维显示
Fig. 5. Phase recovery of cup surface with proposed method. (a)~(d) Fringe projection map of zero initial phase and 3-step phase shifting with fringe frequencies of 1, 4, 16 and 64 respectively; (e) fringe projection map of π/3 initial phase with fringe frequency of 64; (f)~(j) principal phase map of (a)~(e) respectively; (k)~(l) absolute unwrapped phase of frequencies of 4 and 16; (m) principal phase map of frequency of 64 with nonlinear error correction; (n) high resolution absolute unwrapped phase ma
表 1相位误差比较
Table1. Phase error comparisonrad
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毛翠丽, 卢荣胜. 提高多频条纹投影相位提取精度的反向误差补偿法[J]. 光学学报, 2018, 38(4): 0412005. Cuili Mao, Rongsheng Lu. Inverse Error Compensation Method for Improvement of Phase Recovery Accuracy of Multi-Frequency Fringe Projection[J]. Acta Optica Sinica, 2018, 38(4): 0412005.
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